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The magnetic flux linked with a coil is changing with time t (in second) according to Φ = 6t² - 5t + 1, where Φ is in Wb. At t = 0.5 s, the induced current in the coil is ______. The resistance of the circuit is 10 Ω.

Asked in GSEB Board July 2017 · Induced current, heat and power

Answer: (2) 0.1 A

Step-by-step solution

Given: Φ = 6t² - 5t + 1 (in Wb), R = 10 Ω, t = 0.5 s.

Idea: the induced emf is the rate of change of flux, |ε| = |(dΦ)/(dt)|; the current then follows from Ohm's law.

(dΦ)/(dt) = 12t - 5.

At t = 0.5 s: (dΦ)/(dt) = 12(0.5) - 5 = 1 V.

I = (|ε|)/R = 1/(10) = 0.1 A.

Why the other options are wrong

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